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ON THE EQUIVARIANT HARMONIC MAPS BETWEEN SURFACES IN R^3

ON THE EQUIVARIANT HARMONIC MAPS BETWEEN SURFACES IN R^3
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摘要 In this paper,we study the existence and regularity of G-equivariantharmonic maps between surfaces with a finite group G(?)O(3)action.We discoverthat the energy level of compactness in the G-equivariant perturbed problems ishigher than that in general case.This implies the multiplicity of harmonic mapsfor some examples. In this paper,we study the existence and regularity of G-equivariantharmonic maps between surfaces with a finite group G(?)O(3)action.We discoverthat the energy level of compactness in the G-equivariant perturbed problems ishigher than that in general case.This implies the multiplicity of harmonic mapsfor some examples.
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1992年第3期205-212,共8页
基金 This research is partly supported by the National Natural Science Foundation of China
关键词 HARMONIC MAPS the CRITICAL point THEORY group action the DEGREE THEORY Harmonic maps the critical point theory group action the degree theory
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